A worked example: 100 microfarads in nanofarads and picofarads
Running 100 µF through the capacitance converter's real formula gives 100,000 nF when converting to nanofarads, and 100,000,000 pF when converting to picofarads. Both numbers describe the exact same physical capacitor — a typical electrolytic smoothing capacitor rated at 100 µF — just expressed on a different rung of the metric-prefix ladder.
The formula: multiply by the from-unit factor, divide by the to-unit factor
The converter treats farads as the base unit and stores each prefix as a fraction of a farad: 1 mF = 0.001 F, 1 µF = 0.000001 F, 1 nF = 0.000000001 F, and 1 pF = 0.000000000001 F. A conversion is amount × (from-unit-to-farads factor) ÷ (to-unit-to-farads factor). For 100 µF to nF, that is 100 × 0.000001 ÷ 0.000000001, which reduces to 100 × 1,000 = 100,000 nF — matching the converter's actual output.
A second example: a 2200 pF ceramic capacitor in nanofarads
A common ceramic disc capacitor is labeled 2200 pF. Running that value through the same formula in the other direction — picofarads to nanofarads — returns 2.2 nF. This is the kind of conversion an engineer actually needs when a schematic specifies picofarads but a component search filter or simulation tool only accepts nanofarad values.
Why the prefix you see depends on the capacitor's job
A full farad is such a large amount of capacitance that almost no everyday component reaches it — supercapacitors are the exception, which is why a 0.1 F supercapacitor is more naturally described as 100 mF. Small ceramic and film capacitors used for filtering and timing in RF and digital circuits sit at the opposite end, in the nanofarad and picofarad range, simply because those are the values that keep the numbers on a datasheet readable rather than buried in leading zeros.